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Volumn 188, Issue 2, 2007, Pages 1103-1114

Application of projection neural network in solving convex programming problems

Author keywords

Convex programming; Neural network; Projection operator; Stability; Variational inequality

Indexed keywords

COMPUTER PROGRAMMING; COMPUTER SIMULATION; CONVERGENCE OF NUMERICAL METHODS; MATHEMATICAL MODELS; PROBLEM SOLVING; STABILITY;

EID: 34248188105     PISSN: 00963003     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.amc.2006.10.088     Document Type: Article
Times cited : (51)

References (25)
  • 1
    • 0034102116 scopus 로고    scopus 로고
    • A recurrent neural network for solving linear projection equations
    • Xia Y., and Wang J. A recurrent neural network for solving linear projection equations. Neural Network 13 (2000) 337-350
    • (2000) Neural Network , vol.13 , pp. 337-350
    • Xia, Y.1    Wang, J.2
  • 2
    • 0036539447 scopus 로고    scopus 로고
    • A projection neural network and its application to constrained optimization problems
    • Xia Y., and Wang J. A projection neural network and its application to constrained optimization problems. IEEE Trans. Circ. Syst. 44 4 (2002) 447-458
    • (2002) IEEE Trans. Circ. Syst. , vol.44 , Issue.4 , pp. 447-458
    • Xia, Y.1    Wang, J.2
  • 3
    • 34248171092 scopus 로고    scopus 로고
    • A. Nagurney, Variational Inequality, Isenberg School of Management University of Massachusetts, 2002.
  • 5
    • 34248169611 scopus 로고    scopus 로고
    • T. Stuckless, Brouwer's fixed Point theorem: methods of proof and generalizations, Simon Fraser University, March 2003.
  • 6
    • 31144468248 scopus 로고    scopus 로고
    • Neural network models and its application for solving linear and quadratic programming problems
    • Effati S., and Nazemi A.R. Neural network models and its application for solving linear and quadratic programming problems. Appl. Math. Comput. 172 (2006) 305-331
    • (2006) Appl. Math. Comput. , vol.172 , pp. 305-331
    • Effati, S.1    Nazemi, A.R.2
  • 7
    • 26044433362 scopus 로고    scopus 로고
    • A new nonlinear neural network for solving convex nonlinear programming problems
    • Effati S., and Baymani M. A new nonlinear neural network for solving convex nonlinear programming problems. Appl. Math. Comput. 168 (2005) 1370-1379
    • (2005) Appl. Math. Comput. , vol.168 , pp. 1370-1379
    • Effati, S.1    Baymani, M.2
  • 10
    • 0001170028 scopus 로고
    • A posteriori error bounds for the linearly-constrained variational inequality problem
    • Pang J.S. A posteriori error bounds for the linearly-constrained variational inequality problem. Math. Oper. Res. 12 (1987) 474-484
    • (1987) Math. Oper. Res. , vol.12 , pp. 474-484
    • Pang, J.S.1
  • 11
    • 0026763569 scopus 로고
    • Equivalent differentiable optimization problems and descent methods for asymmetric variational inequality problems
    • Fukushima M. Equivalent differentiable optimization problems and descent methods for asymmetric variational inequality problems. Math. Prog. 53 (1992) 99-110
    • (1992) Math. Prog. , vol.53 , pp. 99-110
    • Fukushima, M.1
  • 12
    • 0001922641 scopus 로고
    • A class of gap functions for variational inequalities
    • Larsson T., and Patriksson M. A class of gap functions for variational inequalities. Math. Prog. 64 (1994) 53-79
    • (1994) Math. Prog. , vol.64 , pp. 53-79
    • Larsson, T.1    Patriksson, M.2
  • 13
    • 0030243756 scopus 로고    scopus 로고
    • Modified projection-type methods for monotone variational inequalities
    • Solodov M.V., and Tseng P. Modified projection-type methods for monotone variational inequalities. SIAM J. Control Optim. 2 (1996) 1814-1830
    • (1996) SIAM J. Control Optim. , vol.2 , pp. 1814-1830
    • Solodov, M.V.1    Tseng, P.2
  • 14
    • 0030506603 scopus 로고    scopus 로고
    • A class of iterative methods for solving nonlinear projection equations
    • Sun D. A class of iterative methods for solving nonlinear projection equations. J. Optim. Theory Appl. 91 (1996) 123-140
    • (1996) J. Optim. Theory Appl. , vol.91 , pp. 123-140
    • Sun, D.1
  • 15
    • 0026896765 scopus 로고
    • Linear and quadratic programming neural network analysis
    • Maa C.Y., and Shanblatt M. Linear and quadratic programming neural network analysis. IEEE Trans. Neural Networks (1992) 580-594
    • (1992) IEEE Trans. Neural Networks , pp. 580-594
    • Maa, C.Y.1    Shanblatt, M.2
  • 16
    • 0029266590 scopus 로고
    • Neural network for solving linear programming problems with bounded variables
    • Xia Y., and Wang J. Neural network for solving linear programming problems with bounded variables. IEEE Trans. Neural Networks 6 (1995) 515-519
    • (1995) IEEE Trans. Neural Networks , vol.6 , pp. 515-519
    • Xia, Y.1    Wang, J.2
  • 17
    • 0030142918 scopus 로고    scopus 로고
    • A high performance neural network for solving linear and quadratic programming problems
    • Wu X., Xia Y., Li J., and Chen W.K. A high performance neural network for solving linear and quadratic programming problems. IEEE Trans. Neural Networks 7 (1996) 643-651
    • (1996) IEEE Trans. Neural Networks , vol.7 , pp. 643-651
    • Wu, X.1    Xia, Y.2    Li, J.3    Chen, W.K.4
  • 18
    • 0001201399 scopus 로고    scopus 로고
    • A new neural network for solving linear and quadratic programming problems
    • Xia Y. A new neural network for solving linear and quadratic programming problems. IEEE Trans. Neural Networks 7 (1996) 1544-1547
    • (1996) IEEE Trans. Neural Networks , vol.7 , pp. 1544-1547
    • Xia, Y.1
  • 19
    • 0031142664 scopus 로고    scopus 로고
    • Neural network for solving extended linear programming problems
    • Xia Y. Neural network for solving extended linear programming problems. IEEE Trans. Neural Networks 8 (1997) 519-525
    • (1997) IEEE Trans. Neural Networks , vol.8 , pp. 519-525
    • Xia, Y.1
  • 20
    • 0001256577 scopus 로고
    • Linear programming on an electronic analogue computer
    • Pyne I.B. Linear programming on an electronic analogue computer. Trans. Am. Inst. Electr. Eng. (1956) 139-143
    • (1956) Trans. Am. Inst. Electr. Eng. , pp. 139-143
    • Pyne, I.B.1
  • 21
    • 0344160636 scopus 로고
    • Gradient method of solving linear and quadratic programming problems on electronic analog computers
    • Rybashov M.V. Gradient method of solving linear and quadratic programming problems on electronic analog computers. Automat. Remote Control (1965) 2079-2089
    • (1965) Automat. Remote Control , pp. 2079-2089
    • Rybashov, M.V.1
  • 23
    • 0022721216 scopus 로고
    • Simple neural optimization networks: an A/D converter, signal decision circuit, and a linear programming circuit
    • Tank D.W., and Hopffield J.J. Simple neural optimization networks: an A/D converter, signal decision circuit, and a linear programming circuit. IEEE Trans. Circ. Syst. (1986) 533-541
    • (1986) IEEE Trans. Circ. Syst. , pp. 533-541
    • Tank, D.W.1    Hopffield, J.J.2
  • 25
    • 0029203540 scopus 로고
    • Solving linear programming problems with neural networks: a comparative study
    • Zak S.H., Upatising V., and Hui S. Solving linear programming problems with neural networks: a comparative study. IEEE Trans. Neural Networks (1995) 94-103
    • (1995) IEEE Trans. Neural Networks , pp. 94-103
    • Zak, S.H.1    Upatising, V.2    Hui, S.3


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.